God's Crown

"Please wait a moment." The person who stood up was also a person with an Asian face. Faltins turned around and looked at the person, frowning slightly.This man was undeniably one of his best students and was gifted in mathematics.But-they have very little contact, and they are asking questions at this time.

It seems a little unpredictable.

"Mochizuki Shinichi?" Professor Deligne raised his eyebrows and said, "Do you have any questions?"

Mochizuki Shinichi bowed slightly to Professor Deligne and said, "Professor Deligne, I still have some questions about Yan Jun's thesis that I would like to know more about."

"Oh?" Professor Witten, who was sitting next to him, frowned and said nothing. He didn't say anything just now, but now he started talking.Professor Witten had a very bad impression of Mochizuki Shinichi.It can even be said that he thinks Mochizuki is an unfriendly guy.

It doesn't matter to An Yan. It is much better to raise some doubts at this time than to raise doubts later. Things that can be solved on the spot don't need to wait until later.

"Xinichi-kun, please tell me." An Yan looked at Mochizuki Shinichi, the student of Mr. Faltings.

After all, Mochizuki Shinichi is a professor who has been famous for a long time, so he is naturally a little uncomfortable being called that by An Yan.He frowned and said, "I is zero dimension on the polynomial ring K[x1,x2,…,xn]. How did you make it?"

An Yan smiled slightly, and took a pen to write on the blackboard——

【…

Because for every i, 1≤i≤0, there exists mi≥0...

……①]

After finishing writing, An Yan turned his head to look at Mochizuki Shinichi and said, "So, is Mr. Mochizuki Shinichi clear?"

"I'm fine." Mochizuki sat down directly, as if the person who asked the question just now was not him at all.Now that everyone is quiet again, Professor Deligne coughed lightly and said, "Who else has questions, you can ask them directly now."

Everyone shook their heads. Some of their incomprehensible questions just now were well raised and resolved.Now—most of the people present can almost say with certainty that An Yan has really solved the BSD conjecture, and his attainments in Abelian varieties and algebraic varieties are already very high.

In other words, it has reached one of the top modern levels.

"Then if you all have no objections... then Ann's graduation defense is over." Deligne said, "Does everyone have any objections?"

The crowd was extremely quiet, and no one spoke.

At this point, all that needs to be said has been said.Those who did not speak seemed to have no doubts about Anyan's arithmetic and analytical properties of Abelian varieties.

Still no one spoke, everyone is someone with some status in the mathematics world, and they still know mathematics very well.Although the direction of research may not be Abelian clusters, there is some understanding of Abelian clusters.An Yan has already made a very great achievement on Abelian clusters. After reading the paper, they couldn't say anything.

"If you still have no questions, then I will announce——Ann passed her doctoral dissertation defense."

'Papapa' Everyone stood up and applauded An Yan. This was an amazing defense, a doctoral dissertation defense on the BSD conjecture, and it really solved this problem.They seem to have seen a rising star in the mathematics world, no, not a new star, but a figure at the level of a great god.

It is conceivable that if An Yan is given some room to grow, he will definitely become a great god like Deligne or Faltins.

"Congratulations." Professor Deligne stretched out his hand to An Yan and said with a smile, "A very excellent and perfect doctoral defense."

"Thank you, Professor Deligne." After An Yan shook hands with Professor Deligne, Professor Hudson stared at An Yan, "Ann, you have graduated from Stanford University. Then, what are you going to do next?" Is there a position at school or?"

Professor Deligne smiled slightly, "Ann, on behalf of Princeton University, I welcome you to Princeton University as a professor of mathematical physics. You know, in mathematics, no one can surpass Princeton University in terms of academic atmosphere. If you want If you want to make great progress in mathematics and physics, I personally and sincerely suggest that you can teach at Princeton University."

Although Professor Hudson felt a little uncomfortable, he had to admit that Princeton University is the world's top in mathematics and theoretical physics.

"Yes, Ann, if you want to study mathematics and theoretical physics further, I also suggest you go to Princeton, where you will learn more."

An Yan was silent for a while and said, "Professor Deligne, when can I go to Princeton University?"

"Anytime!" Deligne raised his eyebrows, Ann's level is enough to be a professor at Princeton University.He was able to unravel the BSD conjecture and make breakthroughs in Hilbert spaces.It already means that his level is not low, and he became a Princeton professor, although he looks a little young.But academics are not judged by age, but by academics.

It is more than enough for him to go to Princeton as a professor, and he will also become one of the most legendary professors in Princeton.Presumably, it will attract countless students who are pursuing mathematics and physics to study in Princeton.

"Professor Hudson." An Yan bowed and said, "Thank you for nurturing me."

"No." Professor Hudson said with a smile, "You are the best student I have ever seen in my life, bar none. I also congratulate you on becoming a professor at Princeton University. From now on, you will be Professor An."

Taking a deep breath, after almost all the bigwigs in the academic circles who watched his graduation defense had left, Faltings walked up to An Yan, "Very good graduation defense, although it was similar to what I imagined. But I I have to say that this is a regular graduation defense. I believe that after today, the mainstream of the academic world will think that you have solved the BSD conjecture."

"So after that, will you go further with algebraic varieties?"

"Yes, Mr. Faltings, I am going to further study Hodge's conjecture on algebraic varieties." An Yan showed a smile, "This will be very helpful for my future academic studies."

"Very good." Faltings raised his eyebrows and said, "You seem to want to challenge the grand unified theory."

"Maybe." An Yan spread his hands, "I think anyone who has ambitions in physics wants to challenge the Grand Unified Theory."

Several professors were chatting with An Yan, and finally An Yan decided to leave for Princeton University after finishing his work at Stanford University.

For the sake of his future academics, Professor Hudson thinks that he should teach at Princeton University.

He has also thought about this issue. If he wants to realize his ambition in physics, he may have to go to Princeton University to continue his in-depth research.

After seeing off several professors, An Yan and Professor Hudson returned to Professor Hudson's office.

"Professor." An Yan looked at Hudson and said, "Is there anything else you can do?" Although An Yan has graduated, she still respects Professor Hudson very much.

Looking at the respectful An Yan in front of him, Professor Hudson sighed and said, "An, I must give you some advice."

An Yan did not speak, but sat in a chair and listened to Professor Hudson's instructions.

"I hope you will not fall into the trap of mathematical games in your future academic research. To be honest, I don't like Witten at all. He really loves to play mathematical games. Whether it is M theory or his Everything he does in quantum topological field theory makes me feel that he is doing a mathematical solution, not a physical solution."

"I hope that on the basis of learning mathematics well, you should not forget. Physics is not a vassal of mathematics, and not any problem is explained by mathematics. It is true that calculations need to use mathematics. But not all physics theories It’s all about math.”

"Ann, I hope you can understand."

"Professor." An Yan said seriously, "I will remember what you told me today."

"Let's go." Professor Hudson sighed slightly, "You are the fastest graduating doctoral student in the history of Stanford University. Be happy, you are a very talented student. After teaching at Princeton University, I think you should also teach a few students who can contribute to academics."

An Yan left Professor Hudson's office and came to his room.After tidying up, he still has to go through some formalities and get his degree certificate.Then he went to teach at Princeton University, and there was a knock on the door.

When he opened the door, he saw Kai and Shinya standing outside the door with expressions of admiration on his face, An Yan froze for a moment, "What's wrong with you?"

"An Yan, you are really amazing."

"..."

"I heard you're going to teach at Princeton University?"

"probably."

"I, I... I have to go to Princeton."

"Can you study well at Stanford University first." An Yan said, rubbing his forehead, "Shinya-kun, you are a talented mathematician, but I think you can't aim too high now, you should study well. You can study now. knowledge."

"Okay." Kai and Shinya spread their hands, "However, I believe we will definitely meet in the future."

"I'm looking forward to it, but I hope that at that time, I will see a better Shinya-kun." An Yan smiled and waved at Shinya, "I still have to pack my things and go to the school office to go through some formalities."

"Shinya-kun, you should take care of your own affairs first." After An Yan finished speaking, he began to concentrate on organizing his things.Kai and Shinya glanced at An Yan, "Then Yan-jun, I will take my leave first."

After packing up, he came to the school office and completed the formalities.After receiving the degree certificate, he took his own salute and went to teach at Princeton University.

This seems to be another new journey.

An Yan thought so in her heart, and embarked on the journey to Princeton University.